You should DEFINITELY advise them the *great* book from Rozsa Péter (the hungarian mathematician who discovered - despite all common thoughts - the Ackermann function). "Playing with Infinity" is not well know but it was a big success in my case and for all the persons I advised it to. It is an incredibly pedagogic and fun book, definitely recommended for high school but to my mind advisable also to all maths enthusiasts, researchers included : if you don't learn anything on the technical side, you'll surely learn a lot about pedagogy and have a great time! It starts from the very beginning (how many sheeps) on a very practical point of view to elaborate concepts in various fields of mathematics, even the most complicated and abstract ones like topology and number theory. Please read it and spread the word, I assure you that is is worth it. http://www.amazon.com/Playing-Infinity-Mathematical-Explorations-Excursions/dp/0486232654/ref=sr_1_5?ie=UTF8&s=books&qid=1234139922&sr=8-5 PS: look also at her photo on Wikipedia. How could such a beautiful and sweet old lady not write beautiful things?

Hey, this reminds me a lot of a movie from the 70's: Three days of the Condor, by Sydney Pollack.
There was this special CIA unit in NY which goal was to read every sci-fi and thriller books, entering the stories in a beautiful old DEC tape computer. But one day, Robert Redford (The Condor) discovers a story that sounds so real that some people (the bad guys) decide to "terminate" this unit by killing everyone.

Great movie!